Imaging lens

ABSTRACT

An imaging lens includes a first lens having positive refractive power; a second lens having negative refractive power; a third lens having positive refractive power; a fourth lens having positive refractive power; a fifth lens; a sixth lens; a seventh lens; an eighth lens; and a ninth lens having negative refractive power, arranged in this order from an object side to an image plane side. The ninth lens is formed in a shape so that a surface thereof on the image plane side has an aspherical shape having an inflection point.

BACKGROUND OF THE INVENTION AND RELATED ART STATEMENT

The present invention relates to an imaging lens for forming an image ofan object on an imaging element such as a CCD sensor and a CMOS sensor.In particular, the present invention relates to an imaging lens suitablefor mounting in a relatively small camera such as a camera to be builtin a portable device, e.g., a cellular phone and a portable informationterminal, a digital still camera, a security camera, an onboard camera,and a network camera.

In case of a lens configuration comprised of nine lenses, since thenumber of lenses that compose the imaging lens is large, it has higherflexibility in designing and can satisfactorily correct aberrations thatare required for an imaging lens with high resolution. For example, asthe conventional imaging lens having a nine-lens configuration, animaging lens described in Patent Reference has been known. [PatentReference]

Patent Reference: Japanese Patent Application Publication No.2018-156011

According to the conventional imaging lens of Patent Reference, it isachievable to relatively satisfactorily correct aberrations. In case ofthe conventional imaging lens, however, a total track length is longrelative to a focal length of the whole lens system, so that it is notsuitable to mount in a smartphone, etc. According to the conventionalimaging lens of Patent Reference, it is difficult to correct aberrationsmore satisfactorily, while downsizing the imaging lens.

In view of the above-described problems in the conventional techniques,an object of the present invention is to provide an imaging lens thatcan attain both a small size and satisfactorily corrected aberrations ina balanced manner.

Further objects and advantages of the present invention will be apparentfrom the following description of the invention.

SUMMARY OF THE INVENTION

In order to attain the objects described above, an imaging lens of theinvention is configured to form an image of an object on an imagingelement. According to a first aspect of the invention, an imaging lensof the invention includes a first lens having positive refractive power,a second lens having negative refractive power, a third lens havingpositive refractive power, a fourth lens, a fifth lens, a sixth lens, aseventh lens, an eighth lens, and a ninth lens having negativerefractive power, arranged in the order from an object side to an imageplane side. A surface of the ninth lens on the image plane side isformed in an aspheric shape having an inflection point.

According to the imaging lens of the invention, the arrangement ofrefractive power of the three lenses disposed on the object side is inthe order of “positive-negative-positive”, so that it is suitablyachieved to downsize the imaging lens. In addition, the image plane-sidesurface of the ninth lens, is formed in an aspheric shape having aninflexion point. Therefore, it is achievable to satisfactorily correctparaxial aberrations and aberrations at the periphery thereof, whilesuitably restraining an incident angle of a light beam emitted from theimaging lens to the image plane of an imaging element within the rangeof chief ray angle (CRA).

Here, in the invention, “lens” refers to an optical element havingrefractive power. Accordingly, the “lens” of the invention does notinclude an optical element such as a prism and a flat plate filter.Those optical elements may be disposed before or after the imaging lensor between lenses as necessary.

The imaging lens having the above-described configuration preferablysatisfy the following conditional expression (1):0.5<f123/f<2.5  (1)

When the imaging lens satisfies the conditional expression (1), it isachievable to satisfactorily correct aberrations including a sphericalaberration.

The imaging lens having the above-described configuration preferablysatisfy the following conditional expression (2):f789<0  (2)

When the imaging lens satisfies the conditional expression (2), it ismore suitably achievable to downsize the imaging lens.

The imaging lens having the above-described configuration preferablysatisfy the following conditional expression (3):−6<f3/f2<−0.2  (3)

When the imaging lens satisfies the conditional expression (3), it isachievable to satisfactorily correct a chromatic aberration, astigmatismand a distortion in a well-balanced manner, while securing the backfocal length.

The imaging lens having the above-described configuration preferablysatisfy the following conditional expression (4):0.003<D34/f<0.04  (4)

When the imaging lens satisfies the conditional expression (4), it isachievable to satisfactorily correct the astigmatism and the distortion,while securing a distance between the third lens and the fourth lens andthe back focal length.

According to a second aspect of the invention, when the thickness of theseventh lens on the optical axis is T7 and the thickness of the eighthlens on the optical axis is T8, the imaging lens having theabove-described configuration preferably satisfies the followingconditional expression (5):0.5<T8/T7<4  (5)

When the imaging lens satisfies the conditional expression (5), it isachievable to satisfactorily keep the thicknesses of the seventh lensand the eighth lens. Therefore, it is achievable to satisfactorilycorrect aberrations, while downsizing the imaging lens. In addition, itis also achievable to secure the back focal length.

According to a third aspect of the invention, when the whole lens systemhas the focal length f and a distance on the optical axis between theeighth lens and the ninth lens is D89, the imaging lens having theabove-described configuration preferably satisfies the followingconditional expression (6):0.05<D89/f<0.15  (6)

When the imaging lens satisfies the conditional expression (6), it isachievable to satisfactorily correct a field curvature, the astigmatismand the distortion, while securing the back focal length.

According to a fourth aspect of the invention, when the whole lenssystem has the focal length f and a paraxial curvature radius of animage plane-side surface of the ninth lens is R9r, the imaging lenshaving the above-described configuration preferably satisfies thefollowing conditional expression (7):0.2<R9r/f<0.6  (7)When the imaging lens satisfies the conditional expression (7), it isachievable to satisfactorily correct the astigmatism, the comaaberration and the distortion, while downsizing the imaging lens. Whenthe imaging lens satisfies the conditional expression (7), it isachievable to effectively secure the back focal length.

According to a fifth aspect of the invention, when the whole lens systemhas the focal length f and the ninth lens has a focal length f9, theimaging lens having the above-described configuration preferablysatisfies the following conditional expression (8):−2<f9/f<−0.2  (8)

When the imaging lens satisfies the conditional expression (8), it isachievable to secure the back focal length and satisfactorily correctthe field curvature, while restraining the incident angle of a lightbeam emitted from the imaging lens to the image plane within the rangeof CRA.

When the whole lens system has the focal length f and the fourth lenshas a focal length f4, the imaging lens having the above-describedconfiguration preferably satisfies the following conditional expression(9):10<|f4/f|<60  (9)

When the value satisfies the conditional expression (9), it isachievable to satisfactorily restrain the chromatic aberration, theastigmatism, the field curvature and the distortion within satisfactoryranges.

When the first lens has Abbe's number νd1, the second lens has Abbe'snumber νd2, and the third lens has Abbe's number νd3, the imaging lenshaving the above-described configuration preferably satisfies thefollowing conditional expressions (10) through (12):35<νd1<80  (10)10<νd2<30  (11)35<νd3<80  (12)

When the imaging lens satisfies the conditional expressions (10) through(12), it is achievable to satisfactorily correct the chromaticaberration.

When the whole lens system has the focal length f and a distance on theoptical axis from an object-side surface of the first lens to the imageplane is TL, the imaging lens having the above-described configurationpreferably satisfies the following conditional expression (13): When theimaging lens satisfies the conditional expression (13), it is achievableto suitably downsize the imaging lens.1.0<TL/f<1.5  (13)

Here, between the imaging lens and the image plane, typically, there isdisposed an insert such as an infrared cut-off filter and cover glass.In this specification, for the distance on the optical axis of thoseinserts, a distance in the air is employed.

When the distance on the optical axis from the object-side surface ofthe first lens to the image plane is TL and the maximum image height isHmax, the imaging lens of the present invention preferably satisfies thefollowing conditional expression (14):1.0<TL/Hmax<1.8  (14)

When the sixth lens has positive refractive power and the seventh lenshas positive refractive power, and the whole lens system has the focallength f and the sixth lens has a focal length f6, the imaging lenshaving the above-described configuration preferably satisfies thefollowing conditional expression (15):1.5<f6/f<6  (15)

When the imaging lens satisfies the conditional expressions (15), it isachievable to satisfactorily correct the coma aberration and theastigmatism.

When the seventh lens has negative refractive power and the eighth lenshas positive refractive power, and the whole lens system has the focallength f and the eighth lens has a focal length f8, the imaging lenshaving the above-described configuration preferably satisfies thefollowing conditional expression (16):1<f8/f<6  (16)

When the imaging lens satisfies the conditional expression (16), it isachievable to satisfactorily correct the spherical aberration and thedistortion, while downsizing the imaging lens.

According to the invention, the respective lenses from the first lens tothe ninth lens are preferably arranged with certain air intervals. Whenthe respective lenses are arranged at certain air intervals, it isachievable to suitably restrain the manufacturing cost of the imaginglens.

According to the imaging lens of the invention, it is preferred to formboth surfaces each of the first through the ninth lenses in asphericshapes. Forming the both surfaces of each lens in aspheric surfaces, itis achievable to more satisfactorily correct aberrations from proximityof the optical axis of the lens to the periphery thereof.

According to the imaging lens having the above-described configuration,the first lens is preferably formed in a shape directing a convexsurface thereof to the object side. When the first lens is formed insuch a shape, it is achievable to suitably downsize the imaging lens.

According to the imaging lens having the above-described configuration,in the eighth lens and the ninth lens, at least two surfaces thereof arepreferably formed in an aspheric shape having an inflection point. Whenone more surface is formed in an aspheric shape having an inflectionpoint, it is achievable to more satisfactorily correct aberrations atperiphery of an image, while suitably restraining an incident angle of alight beam emitted from the imaging lens to the image plane within therange of CRA.

According to the invention, when the imaging lens has an angle of view2ω, the imaging lens preferably satisfies 65°≤2ω. In order to obtainfully bright image, when the whole lens system has the focal length fand the imaging lens has a diameter of entrance pupil Dep, the imaginglens having the above-described configuration preferably satisfies thefollowing conditional expression (17):f/Dep<2.4  (17)

Here, according to the present invention, as described above, the shapesof the lenses are specified using positive/negative signs of thecurvature radii thereof. Whether the curvature radius of the lens ispositive or negative is determined based on general definition. Morespecifically, taking a traveling direction of light as positive, if acenter of a curvature radius is on the image plane side when viewed froma lens surface, the curvature radius is positive. If a center of acurvature radius is on the object side, the curvature radius isnegative. Here, a curvature radius used herein refers to a paraxialcurvature radius, and may not fit to general shapes of the lenses intheir sectional views all the time.

According to the imaging lens of the invention, it is achievable toprovide an imaging lens having a small size, which is especiallysuitable for mounting in a small-sized camera, while having highresolution with satisfactory correction of aberrations.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 shows a sectional view of a schematic configuration of an imaginglens in Numerical Data Example 1 of the present invention;

FIG. 2 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 1;

FIG. 3 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 1;

FIG. 4 shows a sectional view of a schematic configuration of an imaginglens in Numerical Data Example 2 of the present invention;

FIG. 5 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 4;

FIG. 6 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 4;

FIG. 7 shows a sectional view of a schematic configuration of an imaginglens in Numerical Data Example 3 of the present invention;

FIG. 8 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 7;

FIG. 9 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 7;

FIG. 10 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 4 of the present invention;

FIG. 11 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 10;

FIG. 12 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 10;

FIG. 13 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 5 of the present invention;

FIG. 14 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 13;

FIG. 15 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 13;

FIG. 16 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 6 of the present invention;

FIG. 17 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 16;

FIG. 18 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 16;

FIG. 19 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 7 of the present invention;

FIG. 20 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 19;

FIG. 21 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 19;

FIG. 22 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 8 of the present invention;

FIG. 23 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 22;

FIG. 24 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 22;

FIG. 25 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 9 of the present invention;

FIG. 26 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 25;

FIG. 27 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 25;

FIG. 28 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 10 of the present invention;

FIG. 29 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 28;

FIG. 30 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 28;

FIG. 31 shows a sectional view of a schematic configuration of animaging lens in Numerical Data Example 11 of the present invention;

FIG. 32 is an aberration diagram showing a lateral aberration of theimaging lens of FIG. 31;

FIG. 33 is an aberration diagram showing a spherical aberration,astigmatism, and a distortion of the imaging lens of FIG. 31.

DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS

Hereunder, referring to the accompanying drawings, embodiments of thepresent invention will be fully described.

FIGS. 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, and 31, are schematicsectional views of the imaging lenses in Numerical Data Examples 1 to 11according to the embodiments, respectively. Since the imaging lenses inthose Numerical Data Examples have the same basic configuration, thelens configuration of the embodiment will be described with reference tothe sectional view of Numerical Data Example 1.

As shown in FIG. 1, the imaging lens of the embodiment includes a firstlens L1 having positive refractive power; a second lens L2 havingnegative refractive power; a third lens L3 having positive refractivepower; a fourth lens L4; a fifth lens L5; a sixth lens L6; a seventhlens L7; an eighth lens L8; and a ninth lens L9 having negativerefractive power, arranged in the order from an object side to an imageplane side. In addition, between the ninth lens L9 and an image plane IMof an imaging element, there is provided a filter 10. Here, the filter10 is omissible.

The first lens L1 is formed in a shape such that a curvature radius r1of a surface thereof on the object-side and a curvature radius r2 of asurface thereof on the image plane side are both positive. The firstlens L1 has a shape of a meniscus lens directing a convex surfacethereof to the object side near the optical axis. The shape of the firstlens L1 may not be limited to the one in Numerical Data Example 1. Thefirst lens L1 can be formed in any shape as long as the refractive powerthereof is positive. In addition to the shape in Numerical Data Example1, the first lens L1 can be formed in a shape such that the curvatureradius r1 and the curvature radius r2 are both negative, or such thatthe curvature radius r1 is positive and the curvature radius r2 isnegative. The first of the above-described shapes is a shape of ameniscus lens directing a concave surface thereof to the object sidenear the optical axis, and the latter one is a shape of a biconvex lensnear the optical axis. In view of downsizing the imaging lens, the firstlens L1 may be preferably formed in a shape such that the curvatureradius r1 is positive.

According to Numerical Data Example 1, there is provided an aperturestop ST on the object-side surface of the first lens L1. Here, theposition of the aperture stop ST may not be limited to the one inNumerical Data Example 1. The aperture stop ST can be provided closer tothe object-side than the first lens L1. Alternatively, the aperture stopST can be provided between the first lens L1 and the second lens L2;between the second lens L2 and the third lens L3; between the third lensL3 and the fourth lens L4; or the like.

The second lens L2 is formed in a shape such that a curvature radius r3of a surface thereof on the object-side and a curvature radius r4 of asurface thereof on the image plane side are both positive. The secondlens L2 has a shape of a meniscus lens directing a convex surfacethereof to the object side near the optical axis. The shape of thesecond lens L2 may not be limited to the one in Numerical DataExample 1. The second lens L2 can be formed in any shape as long as therefractive power thereof is negative. In addition to the shape inNumerical Data Example 1, the second lens L2 can be formed in a shapesuch that the curvature radius r3 and the curvature radius r4 are bothnegative, or such that the curvature radius r3 is negative and thecurvature radius r4 is positive. The first of the above-described shapesis a shape of a meniscus lens directing a concave surface thereof to theobject side near the optical axis, and the latter one is a shape of abiconcave lens near the optical axis. In view of downsizing the imaginglens, the first lens L1 may be preferably formed in a shape such thatthe curvature radius r3 is positive.

The third lens L3 is formed in a shape such that a curvature radius r5of a surface thereof on the object-side is positive and a curvatureradius r6 of a surface thereof on the image plane side is negative. Thethird lens L3 has a shape of a biconcave lens near the optical axis. Theshape of the third lens L3 may not be limited to the one in NumericalData Example 1. Numerical Data Examples 3, 7, and 11 are examples of ashape of a meniscus lens directing a convex surface thereof to theobject side near the optical axis. Numerical Data Examples 5 and 10 areexamples of a shape of a meniscus lens directing a concave surfacethereof to the object side near the optical axis. The third lens L3 canbe formed in any shape as long as the refractive power thereof ispositive.

The fourth lens L4 has positive refractive power.

The fourth lens L4 is formed in a shape such that a curvature radius r7of a surface thereof on the object-side and a curvature radius r8 of asurface thereof on the image plane side are both negative. The fourthlens L4 has a shape of a meniscus lens directing a concave surfacethereof to the object side near the optical axis. The shape of thefourth lens L4 may not be limited to the one in Numerical DataExample 1. Numerical Data Examples 2 and 4 are examples of a shape of ameniscus lens directing a convex surface thereof to the object side nearthe optical axis. The Numerical Data Examples 3, 7, 10, and 11 areexamples ofa shape of a biconvex lens near the optical axis.

According to the embodiment, the imaging lens satisfies the followingconditional expression:0<f34.

In the above formula, f34 is a composite focal length of the third lensL3 and the fourth lens L4.

The fifth lens L5 has positive refractive power. The refractive power ofthe fifth lens L5 is not limited to positive refractive power. NumericalData Examples 5 through 11 are examples of lens configurations, in whichthe fifth lens L5 has negative refractive power.

The fifth lens L5 is formed in a shape such that a curvature radius r9of a surface thereof on the object-side is positive and a curvatureradius r10 of a surface thereof on the image plane side is negative. Thefifth lens L5 has a shape of a biconvex lens near the optical axis. Theshape of the fifth lens L5 may not be limited to the one in NumericalData Example 1. Numerical Data Examples 3, 6 through 11 are examples ofa meniscus lens directing a concave surface thereof to the object sidenear the optical axis. The Numerical Data Examples 5 is an example of ashape of a biconcave lens near the optical axis.

The sixth lens L6 has negative refractive power. The refractive power ofthe sixth lens L6 is not limited to negative refractive power. NumericalData Examples 5 through 8 are examples of lens configurations, in whichthe sixth lens L6 has positive refractive power.

The sixth lens L6 is formed in a shape such that a curvature radius r11of a surface thereof on the object-side and a curvature radius r12 of asurface thereof on the image plane side are both positive. The sixthlens L6 has a shape of a meniscus lens directing a convex surfacethereof to the object side near the optical axis. The shape of the sixthlens L6 may not be limited to the one in Numerical Data Example 1.Numerical Data Examples 2 through 4, and 6 through 11 are examples of ashape of a meniscus lens directing a concave surface thereof to theobject side near the optical axis. The Numerical Data Examples 5 is anexample of a shape of a biconvex lens near the optical axis.

The seventh lens L7 has positive refractive power. The refractive powerof the seventh lens L7 is not limited to positive refractive power.Numerical Data Examples 3, 4, 7, 8 and 11 are examples of lensconfigurations, in which the seventh lens L7 has negative refractivepower.

The seventh lens L7 is formed in a shape, such that a curvature radiusr13 of a surface thereof on the object-side and a curvature radius r14of a surface thereof on the image plane side are both negative. Theseventh lens L7 has a shape of a meniscus lens directing a concavesurface thereof to the object side near the optical axis. The shape ofthe seventh lens L7 may not be limited to the one in Numerical DataExample 1. In addition to the shapes described above, the seventh lensL7 can be formed in a shape such that the curvature radius r13 ispositive and the curvature radius r14 is negative, or such that thecurvature radius r13 is negative and the curvature radius r14 ispositive.

The eighth lens L8 has positive refractive power. The refractive powerof the eighth lens L8 is not limited to positive refractive power.Numerical Data Examples 2, 4, 6, 8 and 10 are examples of lensconfigurations, in which the eighth lens L8 has negative refractivepower.

The eighth lens L8 is formed in a shape such that a curvature radius r15of a surface thereof on the object-side and a curvature radius r16 of asurface thereof on the image plane side are both positive. The eighthlens L8 has a shape of a meniscus lens directing a convex surfacethereof to the object side near the optical axis. The shape of theeighth lens L8 may not be limited to the one in Numerical DataExample 1. Numerical Data Examples 6 and 8 are examples of a shape of ameniscus lens directing a concave surface thereof to the object sidenear the optical axis. In addition to the shapes described above, theeighth lens L8 can be formed in a shape such that the curvature radiusr15 is negative and the curvature radius r16 is positive.

The ninth lens L9 is formed in a shape such that a curvature radius r17of a surface thereof on the object-side and a curvature radius r18(=R9r) of a surface thereof on the image plane side are both positive.The ninth lens L9 has a shape of a meniscus lens directing a convexsurface thereof to the object side near the optical axis. The shape ofthe ninth lens L9 may not be limited to the one in Numerical DataExample 1. The Numerical Data Examples 5 and 10 are examples of a shapeof a biconcave lens near the optical axis. In addition to the shapesdescribed above, the ninth lens L9 can be formed in a shape such thatthe curvature radius r17 and the curvature radius r18 are both negative.The ninth lens L9 can be formed in any shape as long as the refractivepower thereof is negative.

The ninth lens L9 is formed in a shape such that a surface thereof onthe image plane side has an aspheric shape having an inflection point.Here, the “inflection point” means a point where the positive/negativesign of a curvature changes on the curve, i.e., a point where adirection of curving of the curve on the lens surface changes. Accordingto the imaging lens of the embodiment, the image plane-side surface ofthe ninth lens L9 is formed as an aspheric shape having an pole.According to the imaging lens of Numerical Data Example 1, both surfacesof the eighth lens L8 and the ninth lens L9 are formed as asphericshapes having an inflection point. Here, depending on the requiredoptical performance and downsizing of the imaging lens, among lenssurfaces of the eighth lens L8 and the ninth lens L9, lens surfacesother than the image plane-side surface of the ninth lens L9 can beformed as an aspheric shape without an inflection point.

According to the embodiment, the imaging lens satisfied the followingconditional expressions (1) through (14):0.5<f123/f<2.5  (1)f789<0  (2)−6<f3/f2<−0.2  (3)0.003<D34/f<0.04  (4)0.5<T8/17<4  (5)0.05<D89/f<0.15  (6)0.2<R9r/f<0.6  (7)−2<f9/f<−0.2  (8)10<|f4/f|<60  (9)35<νd1<80  (10)10<νd2<30  (11)35<νd3<80  (12)1.0<TL/f<1.5  (13)1.0<TL/Hmax<1.8  (14)

In the above conditional expressions,

f: Focal length of the whole lens system

f2: Focal length of the second lens L2

f3: Focal length of the third lens L3

f4: Focal length of the fourth lens L4

f9: Focal length of the ninth lens L9

f123: Composite focal length of the first lens L1, the second lens L2and the third lens L3

f789: Composite focal length of the seventh lens L7, the eighth lens L8and the ninth lens L9

T7: Thickness of the seventh lens L7 on an optical axis

T8: Thickness of the eighth lens L8 on an optical axis

νd1: Abbe's number of the first lens L1

νd2: Abbe's number of the second lens L2

νd3: Abbe's number of the third lens L3

R9r: Paraxial curvature radius of an image plane-side surface of theninth lens L9

D34: Distance on the optical axis X between the third lens L3 and thefourth lens L4

D89: Distance on the optical axis X between the eighth lens L8 and theninth lens L9

Hmax: Maximum image height

TL: Distance on an optical axis X from the object-side surface of thefirst lens L1 to the image plane IM (the filter 10 is a distance in theair)

When the sixth lens L6 has positive refractive power and the seventhlens L7 has positive refractive power as in the lens configurations inNumerical Data Examples 5 and 6, the imaging lens further satisfies thefollowing conditional expression (15):1.5<f6/f<6  (15)

In the above conditional expressions, f6 is a focal length of the sixthlens L6.

When the seventh lens L7 has negative refractive power and the eighthlens L8 has positive refractive power as in the lens configurations inNumerical Data Examples 3, 7 and 11, the imaging lens further satisfiesthe following conditional expression (16):1<f8/f<6  (16)

In the above conditional expression, f8 is a focal length of the eighthlens L8.

According to the embodiment, the imaging lens satisfies the followingconditional expression (17):f/Dep<2.4  (17)

In the above conditional expression, Dep is a diameter of entrance pupilof the imaging lens.

Here, it is not necessary to satisfy all of the conditional expressions,and it is achievable to obtain an effect corresponding to the respectiveconditional expression when any single one of the conditionalexpressions is individually satisfied.

According to the embodiment, lens surfaces of the respective lenses areformed as aspheric surfaces. An equation that expresses those asphericsurfaces is shown below:

$\begin{matrix}{Z = {\frac{C \cdot H^{2}}{1 + \sqrt{1 - {{\left( {1 + k} \right) \cdot C^{2}}H^{2}}}} + {\sum\left( {{An} \cdot H^{n}} \right)}}} & \left\lbrack {{Equation}\mspace{14mu} 1} \right\rbrack\end{matrix}$

In the above conditional expression,

Z: Distance in a direction of the optical axis

H: Distance from the optical axis in a direction perpendicular to theoptical axis

C: Paraxial curvature (=1/r, r: paraxial curvature radius)

k: Conic constant

An: The nth aspheric coefficient

Next, Numerical Data Examples of the imaging lens of the embodiment willbe described. In each Numerical Data Example, f represents a focallength of the whole lens system, Fno represents a F-number, and ωrepresents a half angle of view, respectively. In addition, i representsa surface number counted from the object side, r represents a curvatureradius, d represents a distance on the optical axis between lenssurfaces (surface spacing), nd represents a refractive index at areference wavelength of 588 nm, and νd represents an Abbe's number atthe reference wavelength, respectively. Here, surfaces indicated withsurface numbers i affixed with * (asterisk) are aspheric surfaces.

Numerical Data Example 1

Basic Lens Data

TABLE 1 f = 5.68 mm Fno = 1.9 ω = 39.6° i r d n d ν d [mm] ∞ ∞ L1  1*2.449 0.735 1.5443 55.9 f1 = 4.927    2*(ST) 25.250 0.053 L2  3* 3.8730.232 1.6707 19.2 f2 = −11.959  4* 2.549 0.451 L3  5* 29.386 0.3221.5443 55.9 f3 = 39.344  6* −78.645 0.164 L4  7* −15.450 0.368 1.544355.9 f4 = 254.929  8* −14.019 0.031 L5  9* 73.756 0.335 1.5443 55.9 f5 =31.319 10* −22.136 0.084 L6 11* 10.710 0.320 1.5443 55.9 f6 = −76.82212* 8.436 0.337 L7 13* −3.849 0.307 1.6707 19.2 f7 = 73.662 14* −3.6850.103 L8 15* 5.770 0.593 1.5443 55.9 f8 = 12.656 16* 34.237 0.505 L9 17*12.431 0.627 1.5443 55.9 f9 = −5.133 18* 2.241 0.280 19  ∞ 0.210 1.516864.2 20  ∞ 0.774 (IM) ∞f123=6.413 mmf789=−12.710 mmf34=34.396 mmf89=−10.730 mmT7=0.307 mmT8=0.593 mmD34=0.164 mmD89=0.505 mmTL=6.759 mmHmax=4.70 mmDep=3.004 mm

TABLE 2 Aspherical surface data i k A4 A6 A8 A10 A12 A14 A16 1 1.596E−01−2.809E−05 −1.763E−03  1.538E−03 −1.234E−03   3.575E−04 2.314E−05−2.293E−05 2 0.000E+00 −2.103E−02  2.809E−02 −1.854E−02 6.964E−03−1.155E−03 −4.096E−05   1.997E−05 3 −1.592E+01  −3.180E−02  3.591E−02−2.036E−02 7.277E−03 −7.931E−04 −2.521E−04   3.892E−05 4 −1.055E+01  2.966E−02 −2.000E−02  1.781E−02 −7.661E−03   2.505E−03 −7.223E−04  2.167E−04 5 −3.340E+03  −5.173E−03 −5.960E−03 −4.977E−04 −9.541E−04  5.056E−04 3.619E−04  1.287E−05 6 0.000E+00 −2.367E−02 −4.644E−03−2.003E−03 −1.931E−04   3.362E−04 1.312E−04  5.003E−05 7 0.000E+00−1.139E−02 −1.414E−02  2.120E−03 2.433E−04 −4.450E−05 6.296E−05 1.362E−05 8 0.000E+00 −9.928E−03 −1.849E−02 −3.913E−05 1.469E−03 2.732E−05 −2.115E−04  −5.735E−07 9 0.000E+00 −2.701E−02 −1.053E−02 6.084E−05 −5.033E−04   5.285E−05 1.589E−04 −5.141E−05 10 0.000E+00−1.728E−02 −1.322E−02 −3.890E−04 1.106E−03  6.911E−05 −1.770E−04  5.570E−05 11 0.000E+00 −6.285E−03 −1.675E−02  1.414E−03 −6.246E−04 −1.600E−05 1.467E−04 −3.402E−05 12 0.000E+00 −2.921E−02  1.024E−02−5.023E−03 −1.718E−03   1.892E−03 −4.964E−04   4.178E−05 13 1.722E+00−1.581E−03  2.259E−02 −1.508E−02 5.786E−03 −1.060E−03 6.904E−05−4.463E−07 14 −5.681E+00  −1.732E−02  2.294E−02 −1.170E−02 3.418E−03−5.125E−04 3.017E−05 −2.400E−07 15 −1.545E+00  −8.400E−03  1.712E−03−2.780E−03 5.804E−04 −9.580E−05 1.110E−05 −4.282E−07 16 0.000E+00 1.692E−02 −4.024E−03 −6.828E−04 1.790E−04 −1.078E−05 1.733E−07−2.112E−09 17 6.588E+00 −8.207E−02  1.852E−02 −2.344E−03 2.140E−04−1.420E−05 5.771E−07 −1.023E−08 18 −5.072E+00  −5.346E−02  1.438E−02−2.864E−03 3.587E−04 −2.641E−05 1.028E−06 −1.607E−08

The values of the respective conditional expressions are as follows:

f123/f=1.129

f3/f2=−3.290

D34/f=0.029

T8/T7=1.932

D89/f=0.089

R9r/f=0.395

f9/f=−0.904

|f4/f|=44.882

TL/f=1.190

TL/Hmax=1.438

f/Dep=1.89

FIG. 2 shows a lateral aberration that corresponds to a ratio H of eachimage height to the maximum image height Hmax (hereinafter referred toas “image height ratio H”), which is divided into a tangential directionand a sagittal direction (The same is true for FIGS. 5, 8, 11, 14, 17,20, 23, 26, 29 and 32). FIG. 3 shows a spherical aberration (mm),astigmatism (mm), and a distortion (%), respectively. The aberrationdiagrams of the astigmatism and the distortion show aberrations at areference wavelength (588 nm). Furthermore, in the aberration diagramsof the astigmatism shows sagittal image surfaces(S) and tangential imagesurfaces (T), respectively (The same is true for FIGS. 6, 9, 12, 15, 18,21, 24, 27, 30 and 33).

Numerical Data Example 2

Basic Lens Data

TABLE 3 f = 6.08 mm Fno = 2.2 ω = 37.7° i r d n d ν d [mm] ∞ ∞ L1  1*2.334 0.745 1.5443 55.9 f1 = 4.893    2*(ST) 16.738 0.021 L2  3* 5.0430.285 1.6707 19.2 f2 = −13.267  4* 3.146 0.524 L3  5* 80.262 0.5601.5443 55.9 f3 = 50.126  6* −41.233 0.067 L4  7* 27.557 0.369 1.544355.9 f4 = 86.620  8* 66.007 0.323 L5  9* 19.502 0.511 1.5443 55.9 f5 =13.343 10* −11.465 0.254 L6 11* −2.954 0.252 1.6707 19.2 f6 = −87383 12*−3.217 0.042 L7 13* −5.926 0.322 1.5443 55.9 f7 = 100.754 14* −5.4510.031 L8 15* 16.055 0.299 1.5443 55.9 f8 = −81.403 16* 11.707 0.540 L917* 83.889 0.790 1.5443 55.9 f9 = −5.485 18* 2.873 0.250 19  ∞ 0.2101.5168 64.2 20  ∞ 0.635 (IM) ∞f123=6.268 mmf789=−5.342 mmf34=31.756 mmf89=−5.107 mmT7=0.322 mmT8=0.299 mmD34=0.067 mmD89=0.540 mmTL=6.956 mmHmax=4.70 mmDep=2.763 mm

TABLE 4 Aspherical surface data i k A4 A6 A8 A10 A12 A14 A16 1 4.880E−01−5.227E−03 −3.718E−03   4.169E−04 7.015E−05 −8.771E−04 4.755E−04−1.018E−04  2 0.000E+00 −4.515E−02 5.024E−02 −3.097E−02 8.543E−03 1.986E−04 −7.102E−04  1.067E−04 3 −2.868E+01  −2.082E−02 3.165E−02−1.242E−02 1.722E−03 −4.847E−04 7.671E−04 −2.241E−04  4 −5.582E+00  1.580E−02 −1.515E−02   4.259E−02 −4.677E−02   3.176E−02 −1.260E−02 2.516E−03 5 0.000E+00 −1.786E−02 −6.527E−03  −2.481E−03 7.567E−03−8.257E−03 3.355E−03 1.454E−05 6 0.000E+00 −5.176E−02 −2.188E−02 −5.025E−03 1.134E−02 −2.738E−04 −2.384E−03  7.130E−04 7 0.000E+00−3.577E−02 −2.207E−02   7.948E−03 1.122E−03  1.330E−03 7.454E−05−2.252E−04  8 0.000E+00 −3.611E−02 9.891E−03 −4.100E−03 6.217E−04 6.418E−04 −4.383E−04  1.514E−04 9 0.000E+00 −5.604E−02 5.027E−03−1.294E−02 6.302E−03 −2.229E−03 2.535E−04 2.055E−05 10 0.000E+00−2.273E−02 3.461E−03 −1.281E−03 −2.300E−03   1.270E−03 −1.944E−04 1.625E−06 11 −4.159E−02  −2.244E−02 1.538E−02 −1.151E−04 −7.550E−04  1.965E−04 −5.221E−05  2.364E−06 12 −5.116E+00  −4.191E−02 1.753E−02−5.069E−03 2.133E−03 −4.527E−04 6.806E−06 4.074E−06 13 0.000E+00 3.671E−03 3.116E−03 −3.195E−03 3.982E−04 −2.701E−05 1.442E−05−1.709E−06  14 0.000E+00  1.202E−02 −5.005E−03  −4.778E−05 1.706E−04−6.530E−06 −7.463E−07  −8.462E−08  15 0.000E+00 −7.208E−03 −5.817E−03  2.652E−04 3.604E−04 −1.080E−04 1.575E−05 −9.747E−07  16 0.000E+00−1.428E−02 1.413E−03 −6.500E−04 1.034E−04 −7.395E−06 6.189E−07−4.144E−08  17 0.000E+00 −8.241E−02 1.935E−02 −1.764E−03 3.096E−05 5.837E−06 −3.662E−07  4.905E−09 18 −7.681E+00  −4.147E−02 1.063E−02−1.960E−03 2.327E−04 −1.632E−05 6.130E−07 −9.504E−09 

The values of the respective conditional expressions are as follows:

f123/f=1.031

f3/f2=−3.778

D34/f=0.011

T8/T7=0.929

D89/f=0.089

R9r/f=0.473

f9/f=−0.902

|f4/f|=14.247

TL/f=1.144

TL/Hmax=1.480

f/Dep=2.20

FIG. 5 shows a lateral aberration that corresponds to an image height Hand FIG. 6 shows a spherical aberration (mm), astigmatism (mm), and adistortion (%), respectively.

Numerical Data Example 3

Basic Lens Data

TABLE 5 f = 6.10 mm Fno = 1.7 ω = 37.6° i r d n d ν d [mm] ∞ ∞ L1   1*(ST) 2.534 0.577 1.5443 55.9 f1 = 8.018  2* 5.559 0.033 L2  3*2.199 0.240 1.6707 19.2 f2 = −10.066  4* 1.586 0.128 L3  5* 2.805 0.7121.5348 55.7 f3 = 6.429  6* 13.883 0.112 L4  7* 75.096 0.251 1.5348 55.7f4 = 85.345  8* −116.235 0.245 L5  9* −41.080 0.268 1.5348 55.7 f5 =111.459 10* −24.375 0.272 L6 11* −4.590 0.321 1.6707 19.2 f6 = −94.51712* −5.087 0.159 L7 13* −6.282 0.549 1.6707 19.2 f7 = −31.919 14* −9.2040.027 L8 15* 4.172 0.518 1.5443 55.9 f8 = 26.274 16* 5.634 0.671 L9 17*3.773 0.556 1.5348 55.7 f9 = −8.687 18* 1.975 0.250 19  ∞ 0.210 1.516864.2 20  ∞ 0.923 (IM) ∞f123=5.726 mmf789=−9.353 mmf34=6.028 mmf89=−15.304 mmT7=0.549 mmT8=0.518 mmD34=0.112 mmD89=0.671 mmTL=6.950 mmHmax=4.70 mmDep=3.560 mm

TABLE 6 Aspherical surface data i k A4 A6 A8 A10 1 −6.443E−01  8.068E−03  2.143E−03 −1.571E−03   2.699E−04 2 0.000E+00  4.423E−02−6.432E−02 9.069E−02 −1.009E−01 3 −8.075E+00   5.014E−02 −7.690E−029.613E−02 −1.052E−01 4 −1.943E+00  −5.854E−02  7.888E−02 −1.103E−01  1.085E−01 5 −5.180E+00   3.599E−03  6.361E−02 −1.547E−01   2.239E−01 60.000E+00 −1.817E−02 −4.684E−03 4.819E−02 −9.273E−02 7 0.000E+00−1.870E−02  1.174E−02 2.065E−03 −3.820E−03 8 0.000E+00 −1.249E−02 6.136E−03 9.286E−04 −2.934E−03 9 0.000E+00 −3.254E−02 −1.131E−025.001E−03 −6.521E−03 10 0.000E+00 −4.119E−03 −2.761E−02 5.526E−03 2.886E−03 11 0.000E+00  4.230E−02 −7.700E−02 4.535E−02 −1.066E−02 120.000E+00  3.608E−02 −3.446E−02 −2.046E−02   3.227E−02 13 0.000E+00 1.616E−02  2.363E−02 −4.859E−02   2.608E−02 14 0.000E+00 −5.545E−03 5.230E−03 −1.835E−03  −4.943E−04 15 −8.101E−01  −1.282E−03 −3.680E−021.619E−02 −4.815E−03 16 0.000E+00  2.125E−02 −2.755E−02 7.708E−03−9.439E−04 17 −2.388E−01  −1.212E−01  3.978E−02 −8.483E−03   9.174E−0418 −7.024E+00  −5.145E−02  1.345E−02 −2.621E−03   3.137E−04 i A12 A14A16 A18 A20 1  5.319E−05 −8.179E−06 −5.405E−06 −4.391E−07 3.391E−07 2 7.464E−02 −3.519E−02  1.017E−02 −1.646E−03 1.145E−04 3  7.850E−02−3.720E−02  1.077E−02 −1.739E−03 1.201E−04 4 −7.483E−02  3.385E−02−9.262E−03  1.397E−03 −9.146E−05  5 −2.006E−01  1.105E−01 −3.620E−02 6.494E−03 −4.923E−04  6  9.979E−02 −6.273E−02  2.276E−02 −4.492E−033.863E−04 7  6.043E−04  7.213E−04 −9.371E−05 −2.118E−04 6.925E−05 8 3.337E−06  1.017E−03  2.281E−04 −2.943E−04 5.074E−05 9  6.027E−03−4.502E−04 −1.337E−03  7.273E−04 −1.460E−04  10 −1.187E−03 −3.307E−04 3.226E−04  1.941E−04 −1.145E−04  11 −1.862E−02  2.208E−02 −1.184E−02 3.740E−03 −5.594E−04  12 −2.077E−02  4.902E−03  1.598E−03 −1.058E−031.505E−04 13 −5.289E−03 −3.067E−03  2.823E−03 −8.450E−04 8.756E−05 14 2.061E−04  3.624E−05 −2.053E−05  1.805E−06 4.467E−08 15  1.194E−03−2.158E−04  1.281E−05  2.180E−06 −2.531E-07  16 −1.460E−05  1.486E−05−7.389E−07 −8.256E−08 6.679E−09 17 −2.334E−05 −2.352E−06 −1.087E−07 3.206E−08 −1.128E−09  18 −2.267E−05  9.665E−07 −1.989E−08 −2.224E−11−5.300E−13 

The values of the respective conditional expressions are as follows:

f123/f=0.939

f3/f2=−0.639

D34/f=0.018

T8/T7=0.944

D89/f=0.110

R9r/f=0.324

f9/f=−1.424

|f4/f|=13.991

TL/f=1.139

TL/Hmax=1.479

f/Dep=1.71

f8/f=4.307

FIG. 8 shows a lateral aberration that corresponds to an image height Hand FIG. 9 shows a spherical aberration (mm), astigmatism (mm), and adistortion (%), respectively.

Numerical Data Example 4

Basic Lens Data

TABLE 7 f = 6.15 mm Fno = 2.2 ω = 37.4° i r d n d ν d [mm] ∞ ∞ L1  1*2.328 0.747 1.5443 55.9 f1 = 4.884    2*(ST) 16.630 0.021 L2  3* 5.0450.291 1.6707 19.2 f2 = −13.349  4* 3.152 0.527 L3  5* 78.026 0.5641.5443 55.9 f3 = 49.231  6* −40.709 0.068 L4  7* 26.693 0.370 1.544355.9 f4 = 82.983  8* 64.944 0.330 L5  9* 18.893 0.512 1.5443 55.9 f5 =12.970 10* −11.164 0.260 L6 11* −2.964 0.258 1.6707 19.2 f6 = −101.03812* −3.208 0.042 L7 13* −5.877 0.309 1.5443 55.9 f7 = −101.235 14*−6.700 0.031 L8 15* 15.450 0.297 1.5443 55.9 f8 = −105.279 16* 12.0870.548 L9 17* 68.554 0.800 1.5443 55.9 f9 = −5.686 18* 2.949 0.250 19  ∞0.210 1.5168 64.2 20  ∞ 0.609 (IM) ∞f123=6.222 mmf789=−4.958 mmf34=30.906 mmf89=−5.376 mmT7=0.309 mmT8=0.297 mmD34=0.068 mmD89=0.548 mmTL=6.971 mmHmax=4.70 mmDep=2.795 mm

TABLE 8 Aspherical surface data i k A4 A6 A8 A10 A12 A14 A16 1 4.905E−01−5.253E−03 −3.630E−03   4.287E−04 5.915E−05 −8.812E−04 4.766E−04−9.963E−05  2 0.000E+00 −4.533E−02 5.034E−02 −3.097E−02 8.548E−03 2.118E−04 −7.034E−04  1.042E−04 3 −2.841E+01  −2.107E−02 3.156E−02−1.235E−02 1.760E−03 −4.894E−04 7.575E−04 −2.218E−04  4 −5.526E+00  1.590E−02 −1.504E−02   4.273E−02 −4.672E−02   3.175E−02 −1.261E−02 2.503E−03 5 0.000E+00 −1.782E−02 −6.261E−03  −2.392E−03 7.476E−03−8.379E−03 3.302E−03 4.602E−05 6 0.000E+00 −5.258E−02 −2.200E−02 −5.070E−03 1.130E−02 −2.974E−04 −2.390E−03  7.175E−04 7 0.000E+00−3.545E−02 −2.222E−02   7.892E−03 1.149E−03  1.383E−03 1.068E−04−2.386E−04  8 0.000E+00 −3.541E−02 1.040E−02 −3.968E−03 6.473E−04 6.503E−04 −4.314E−04  1.537E−04 9 0.000E+00 −5.646E−02 5.381E−03−1.285E−02 6.342E−03 −2.197E−03 2.621E−04 1.114E−05 10 0.000E+00−2.251E−02 3.392E−03 −1.290E−03 −2.286E−03   1.271E−03 −1.958E−04 1.420E−06 11 3.865E−02 −2.312E−02 1.522E−02 −1.157E−04 −7.537E−04  1.988E−04 −5.157E−05  2.139E−06 12 −4.861E+00  −4.235E−02 1.738E−02−5.080E−03 2.137E−03 −4.522E−04 6.774E−06 4.109E−06 13 0.000E+00 3.675E−03 2.988E−03 −3.217E−03 3.889E−04 −2.773E−05 1.468E−05−1.593E−06  14 0.000E+00  1.141E−02 −5.033E−03  −5.806E−05 1.693E−04−6.763E−06 −7.718E−07  −8.299E−08  15 0.000E+00 −6.789E−03 −5.857E−03  2.697E−04 3.606E−04 −1.079E−04 1.576E−05 −9.752E−07  16 0.000E+00−1.465E−02 1.471E−03 −6.524E−04 1.032E−04 −7.362E−06 6.296E−07−3.978E−08  17 0.000E+00 −8.270E−02 1.936E−02 −1.763E−03 3.099E−05 5.837E−06 −3.664E−07  4.882E−09 18 −8.125E+00  −4.158E−02 1.061E−02−1.960E−03 2.328E−04 −1.632E−05 6.127E−07 −9.507E−09 

The values of the respective conditional expressions are as follows:

f123/f=1.012

f3/f2=−3.688

D34/f=0.011

T8/T7=0.961

D89/f=0.089

R9r/f=0.480

f9/f=−0.925

|f4/f|=13.493

TL/f=1.133

TL/Hmax=1.483

f/Dep=2.20

FIG. 11 shows a lateral aberration that corresponds to an image height Hand FIG. 12 shows a spherical aberration (mm), astigmatism (mm), and adistortion (%), respectively.

Numerical Data Example 5

Basic Lens Data

TABLE 9 f = 5.62 mm Fno = 2.0 ω = 39.9° i r d n d ν d [mm] ∞ ∞ L1   1*(ST) 2.528 0.665 1.5443 55.9 f1 = 5.246  2* 19.980 0.072 L2  3*53.71 0.323 1.6707 19.2 f2 = −13.117  4* 3.254 0.469 L3  5* −77.3320.246 1.5443 55.9 f3 = 67.060  6* −24.824 0.095 L4  7* −97.181 0.3211.5443 55.9 f4 = 98.720  8* −34.642 0.045 L5  9* −63.761 0.292 1.544355.9 f5 = −53.017 10* 52.800 0.306 L6 11* 13.401 0.554 1.5443 55.9 f6 =14.163 12* −17.886 0.354 L7 13* −3.237 0.316 1.6707 19.2 f7 = 29.675 14*−2.893 0.030 L8 15* 5.363 0.601 1.5443 55.9 f8 = 16.653 16* 12.613 0.570L9 17* −83.897 0.600 1.5443 55.9 f9 = −4.505 18* 2.532 0.250 19  ∞ 0.2101.5168 64.2 20  ∞ 0.695 (IM) ∞f123=7.083 mmf789=−9.850 mmf34=40.016 mmf89=−7.116 mmT7=0.316 mmT8=0.601 mmD34=0.095 mmD89=0.570 mmTL=6.941 mmHmax=4.70 mmDep=2.836 mm

TABLE 10 Aspherical surface data i k A4 A6 A8 A10 A12 A14 A16 12.824E−01  8.742E−05 −2.220E−04  7.294E−04 −6.360E−04  2.431E−04−4.372E−06  −1.690E−05 2 0.000E+00 −1.786E−02  2.214E−02 −1.385E−024.869E−03 −7.111E−04  −4.637E−05   1.137E−05 3 −1.992E+01  −2.365E−02 2.415E−02 −1.356E−02 4.928E−03 −7.753E−04  1.287E−04 −3.491E−05 4−1.242E+01   2.203E−02 −1.379E−02  1.245E−02 −5.473E−03  1.695E−03−2.851E−04   2.011E−04 5 0.000E+00 −1.218E−02 −9.821E−03 −4.108E−04−3.369E−04  2.288E−04 2.228E−04  1.291E−05 6 0.000E+00 −6.273E−03−1.042E−02 −9.206E−04 3.279E−04 1.692E−04 6.659E−05 −2.902E−05 70.000E+00 −1.244E−02 −9.295E−03 −2.477E−04 −4.349E−04  9.790E−051.540E−04  1.116E−05 8 0.000E+00 −6.064E−03 −1.130E−02 −1.141E−033.635E−04 2.092E−04 6.357E−05 −5.938E−05 9 0.000E+00 −1.824E−02−3.106E−03  1.546E−03 1.031E−04 1.632E−04 1.474E−05 −4.076E−05 100.000E+00 −4.479E−02  4.468E−04  1.074E−03 4.161E−04 6.566E−05−2.909E−05   8.274E−06 11 0.000E+00 −3.644E−02  7.678E−05 −2.609E−03−5.616E−05  2.973E−04 5.830E−05 −1.870E−05 12 0.000E+00 −5.140E−02 1.069E−02 −2.252E−03 −1.306E−03  1.134E−03 −2.692E−04   2.192E−05 137.454E−01 −1.881E−02  2.193E−02 −1.220E−02 4.184E−03 −6.775E−04 2.736E−05  2.134E−06 14 −5.470E+00  −2.135E−02  1.639E−02 −8.535E−032.327E−03 −3.048E−04  1.725E−05 −4.044E−07 15 0.000E+00 −1.501E−02−8.166E−04 −1.211E−03 3.374E−04 −5.781E−05  5.423E−06 −1.809E−07 160.000E+00 −3.621E−03 −5.245E−04 −6.036E−04 1.163E−04 −7.958E−06 −2.238E−08   2.470E−08 17 0.000E+00 −6.988E−02  1.536E−02 −1.778E−031.444E−04 −8.506E−06  3.130E−07 −5.120E−09 18 −5.780E+00  −4.497E−02 1.162E−02 −2.096E−03 2.376E−04 −1.595E−05  5.772E−07 −8.663E−09

The values of the respective conditional expressions are as follows:

f123/f=1.260

f3/f2=−5.112

D34/f=0.017

T8/T7=1.902

D89/f=0.101

R9r/f=0.451

f9/f=−0.802

|f4/f|=17.566

TL/f=1.235

TL/Hmax=1.477

f/Dep=1.98

f6/f=2.520

FIG. 14 shows a lateral aberration that corresponds to an image height Hand FIG. 15 shows a spherical aberration (mm), astigmatism (mm), and adistortion (%), respectively.

Numerical Data Example 6

Basic Lens Data

TABLE 11 f = 5.92 mm Fno = 2.2 ω = 38.4° i r d n d ν d [mm] ∞ ∞ L1  1*2.815 0.598 1.5443 55.9 f1 = 5.382    2*(ST) 67.083 0.058 L2  3* 4.0220.263 1.6707 19.2 f2 = −12.884  4* 2.673 0.471 L3  5* 14.261 0.5011.5443 55.9 f3 = 12.951  6* −13.767 0.122 L4  7* −22.961 0.362 1.544355.9 f4 = 148.629  8* −17.985 0.223 L5  9* −13.752 0.288 1.5443 55.9 f5= −106.392 10* −18.168 0.061 L6 11* −19.022 0.317 1.5443 55.9 f6 =18.645 12* −6.657 0.053 L7 13* −4.210 0.295 1.6707 19.2 f7 = 65.956 14*−3.953 0.218 L8 15* −15.182 1.000 1.5443 55.9 f8 = −95.383 16* −21.9540.564 L9 17* 97.563 0.749 1.5443 55.9 f9 = −4.705 18* 2.489 0.300 19  ∞0.210 1.5168 64.2 20  ∞ 0.512 (IM) ∞f123=5.474 mmf789=−4.636 mmf34=12.013 mmf89=−4.341 mmT7=0.295 mmT8=1.000 mmD34=0.122 mmD89=0.564 mmTL=7.095 mmHmax=4.70 mmDep=2.691 mm

TABLE 12 Aspherical surface data i k A4 A6 A8 A10 A12 A14 A16 12.946E−02 −2.714E−03 −1.663E−03  1.164E−03 −1.063E−03  3.450E−044.733E−05 −4.035E−05 2 0.000E+00 −1.957E−02  2.723E−02 −1.951E−026.623E−03 −6.604E−04  2.511E−05 −7.123E−05 3 −5.839E+00  −3.870E−02 3.291E−02 −2.135E−02 5.769E−03 2.302E−03 −1.690E−03   2.073E−04 4−9.739E+00   2.270E−02 −2.310E−02  1.561E−02 −7.769E−03  3.249E−034.927E−04 −4.662E−04 5 0.000E+00 −1.393E−02 −9.645E−03  4.740E−03−9.169E−03  6.106E−03 7.070E−04 −7.182E−04 6 0.000E+00 −3.558E−02−1.704E−02  5.769E−04 2.046E−03 4.568E−04 5.238E−04 −2.333E−04 70.000E+00 −3.276E−02 −1.534E−02  5.282E−03 5.902E−04 4.955E−04 1.797E−04−7.400E−05 8 0.000E+00 −3.589E−02 −1.470E−02  1.726E−03 2.110E−036.595E−05 −3.257E−04   4.101E−05 9 0.000E+00 −1.900E−02 −2.978E−02−2.230E−05 7.977E−04 1.059E−03 4.053E−04 −3.408E−04 10 0.000E+00−5.611E−02 −1.782E−02  9.837E−04 2.856E−03 2.208E−04 −1.599E−04  2.123E−05 11 0.000E+00 −8.870E−02 −6.648E−03  7.392E−03 1.008E−031.828E−04 5.633E−05 −7.355E−05 12 0.000E+00 −4.340E−02  8.197E−03 1.530E−06 4.304E−04 5.629E−05 −1.277E−05  −1.226E−05 13 1.521E+00−3.148E−02  3.184E−02 −1.607E−02 5.257E−03 −1.002E−03  9.886E−05−2.277E−06 14 −1.006E+01  −2.125E−02  1.839E−02 −1.124E−02 3.647E−03−5.119E−04  2.410E−05  3.378E−07 15 5.888E−01  2.643E−02 −1.390E−02−1.547E−04 4.010E−04 −1.090E−04  2.996E−05 −3.164E−06 16 0.000E+00 1.322E−02 −2.609E−03 −6.865E−04 1.924E−04 −1.341E−05  6.665E−10 2.146E−08 17 9.633E+00 −7.878E−02  1.805E−02 −2.255E−03 2.128E−04−1.505E−05  6.425E−07 −1.204E−08 18 −4.676E+00  −5.183E−02  1.450E−02−2.883E−03 3.595E−04 −2.626E−05  1.026E−06 −1.656E−08

The values of the respective conditional expressions are as follows:

f123/f=0.925

f3/f2=−1.005

D34/f=0.021

T8/T7=3.390

D89/f=0.095

R9r/f=0.420

f9/f=−0.795

f4/f1=25.106

TL/f=1.198

TL/Hmax=1.510

f/Dep=2.20

f6/f=3.149

FIG. 17 shows a lateral aberration that corresponds to an image height Hand FIG. 18 shows a spherical aberration (mm), astigmatism (mm), and adistortion (%), respectively.

Numerical Data Example 7

Basic Lens Data

TABLE 13 f = 6.29 mm Fno = 1.8 ω = 35.7° i r d n d ν d [mm] ∞ ∞ L1   1*(ST) 2.557 0.589 1.5443 55.9 f1 = 8.116  2* 5.578 0.029 L2  3*2.204 0.240 1.6707 19.2 f2 = −10.017  4* 1.587 0.127 L3  5* 2.816 0.7191.5348 55.7 f3 = 6.372  6* 14.774 0.109 L4  7* 77.735 0.309 1.5348 55.7f4 = 88.615  8* −121.242 0.253 L5  9* −17.339 0.269 1.5348 55.7 f5 =−113.722 10* −24.385 0.283 L6 11* −4.878 0.332 1.6707 19.2 f6 = 95.60612* −4.657 0.152 L7 13* −5.946 0.530 1.6707 19.2 f7 = −27.537 14* −9.0840.028 L8 15* 4.252 0.513 1.5443 55.9 f8 = 26.601 16* 5.765 0.674 L9 17*3.815 0.560 1.5348 55.7 f9 = −8.670 18* 1.986 0.250 19  ∞ 0.210 1.516864.2 20  ∞ 1.006 (IM) ∞f123=5.754 mmf789=−8.764 mmf34=5.992 mmf89=−15.099 mmT7=0.530 mmT8=0.513 mmD34=0.109 mmD89=0.674 mmTL=7.112 mmHmax=4.52 mmDep=3.500 mm

TABLE 14 Aspherical surface data i k A4 A6 A8 A10 1 −5.244E−01  9.466E−03  1.227E−03 −1.104E−03   2.574E−04 2 0.000E+00  4.755E−02−6.466E−02 9.079E−02 −1.008E−01 3 −8.611E+00   4.915E−02 −7.643E−029.652E−02 −1.052E−01 4 −2.198E+00  −5.844E−02  8.105E−02 −1.096E−01  1.085E−01 5 −5.321E+00   4.650E−03  6.470E−02 −1.541E−01   2.241E−01 60.000E+00 −2.384E−02 −3.105E−03 4.734E−02 −9.335E−02 7 0.000E+00−3.190E−02  8.567E−03 1.997E−03 −3.927E−03 8 0.000E+00 −1.865E−02 3.579E−04 1.417E−03 −2.441E−03 9 0.000E+00 −4.421E−02 −1.153E−026.774E−03 −6.488E−03 10 0.000E+00 −2.313E−02 −1.891E−02 5.601E−03 3.530E−03 11 0.000E+00  3.512E−02 −7.096E−02 4.637E−02 −9.606E−03 120.000E+00  3.168E−02 −3.088E−02 −1.752E−02   3.186E−02 13 0.000E+00 1.090E−02  2.830E−02 −4.919E−02   2.598E−02 14 0.000E+00 −8.373E−04 3.882E−03 −1.863E−03  −4.251E−04 15 3.943E−01  3.787E−03 −3.884E−021.660E−02 −4.833E−03 16 0.000E+00  2.095E−02 −2.722E−02 7.606E−03−9.417E−04 17 −1.621E−01  −1.233E−01  4.013E−02 −8.446E−03   9.161E−0418 −7.422E+00  −5.250E−02  1.360E−02 −2.593E−03   3.123E−04 i A12 A14A16 A18 A20 1  2.533E−05 −7.997E−06 −1.764E−06  4.415E−07 −2.733E−07  2 7.465E−02 −3.519E−02  1.017E−02 −1.647E−03 1.147E−04 3  7.849E−02−3.721E−02  1.077E−02 −1.738E−03 1.208E−04 4 −7.485E−02  3.385E−02−9.267E−03  1.395E−03 −8.907E−05  5 −2.006E−01  1.105E−01 −3.621E−02 6.500E−03 −4.902E−04  6  9.985E−02 −6.256E−02  2.284E−02 −4.492E−033.707E−04 7  4.699E−04  6.901E−04 −2.373E−05 −1.681E−04 4.234E−05 8−1.569E−04  7.916E−04  1.617E−04 −2.770E−04 6.381E−05 9  6.002E−03−4.621E−04 −1.428E−03  6.665E−04 −1.027E−04  10 −7.544E−04 −4.275E−04 1.165E−04  1.144E−04 −5.283E−05  11 −1.841E−02  2.181E−02 −1.205E−02 3.689E−03 −5.023E−04  12 −2.123E−02  4.814E−03  1.641E−03 −1.037E−031.452E−04 13 −5.280E−03 −3.073E−03  2.829E−03 −8.435E−04 8.794E−05 14 2.133E−04  3.526E−05 −2.093E−05  1.743E−06 5.867E−08 15  1.182E−03−2.158E−04  1.313E−05  2.262E−06 −2.687E−07  16 −1.395E−05  1.489E−05−7.460E−07 −8.368E−08 7.047E−09 17 −2.374E−05 −2.385E−06 −1.088E−07 3.230E−08 −1.112E−09  18 −2.271E−05  9.662E−07 −2.042E−08 −2.592E−113.951E−12

The values of the respective conditional expressions are as follows:

f123/f=0.915

f3/f2=−0.636

D34/f=0.017

T8/T7=0.968

D89/f=0.107

R9r/f=0.316

f9/f=−1.378

|f4/f|=14.088

TL/f=1.131

TL/Hmax=1.573

f/Dep=1.80

f8/f=4.229

FIG. 20 shows a lateral aberration that corresponds to an image height Hand FIG. 21 shows a spherical aberration (mm), astigmatism (mm), and adistortion (%), respectively.

Numerical Data Example 8

Basic Lens Data

TABLE 15 f = 5.80 mm Fno = 2.2 ω = 39.0° i r d n d ν d [mm] ∞ ∞ L1  1*2.653 0.662 1.5443 55.9 f1 = 5.163    2*(ST) 43.434 0.040 L2  3* 4.1810.276 1.6707 19.2 f2 = −12.667  4* 2.728 0.423 L3  5* 14.680 0.5471.5443 55.9 f3 = 12.902  6* −13.286 0.129 L4  7* −12.003 0.375 1.544355.9 f4 = 79.377  8* −9.497 0.206 L5  9* −13.718 0.265 1.5443 55.9 f5 =−100.330 10* −18.445 0.050 L6 11* −15.366 0.321 1.5443 55.9 f6 = 13.92412* −5.113 0.073 L7 13* −3.881 0.265 1.6707 19.2 f7 = 100.690 14* −4.2310.196 L8 15* −12.893 0.800 1.5443 55.9 f8 = −60.884 16* −21.566 0.535 L917* 62.744 0.765 1.5443 55.9 f9 = −4.896 18* 2.546 0.300 19  ∞ 0.2101.5168 64.2 20  ∞ 0.522 (IM) ∞f123=5.270 mmf789=−4.027 mmf34=11.269 mmf89=−4.373 mmT7=0.265 mmT8=0.800 mmD34=0.129 mmD89=0.535 mmTL=6.887 mmHmax=4.70 mmDep=2.636 mm

TABLE 16 Aspherical surface data i k A4 A6 A8 A10 A12 A14 A16 12.946E−02 −2.563E−03 −1.649E−03  1.166E−03 −1.044E−03  3.209E−046.070E−05 −3.576E−05 2 0.000E+00 −1.994E−02  2.742E−02 −1.928E−026.640E−03 −6.688E−04  3.147E−05 −7.009E−05 3 −5.839E+00  −4.125E−02 3.256E−02 −2.154E−02 5.737E−03 2.367E−03 −1.680E−03   2.128E−04 4−9.739E+00   1.933E−02 −2.544E−02  1.551E−02 −7.622E−03  3.276E−035.081E−04 −3.735E−04 5 0.000E+00 −1.056E−02 −8.155E−03  5.716E−03−8.530E−03  6.370E−03 7.315E−04 −7.880E−04 6 0.000E+00 −2.912E−02−1.542E−02  1.420E−03 2.190E−03 4.396E−04 5.134E−04 −2.169E−04 70.000E+00 −3.577E−02 −1.505E−02  4.866E−03 3.375E−04 4.119E−04 1.732E−04−5.290E−05 8 0.000E+00 −3.882E−02 −1.580E−02  1.465E−03 2.086E−038.218E−05 −3.368E−04   2.193E−05 9 0.000E+00 −1.852E−02 −3.462E−02−9.709E−04 6.087E−04 9.767E−04 3.618E−04 −3.647E−04 10 0.000E+00−5.683E−02 −1.822E−02  6.578E−04 2.707E−03 1.797E−04 −1.608E−04  3.077E−05 11 0.000E+00 −8.870E−02 −6.111E−03  7.671E−03 1.063E−031.757E−04 4.485E−05 −7.992E−05 12 0.000E+00 −4.020E−02  8.729E−03−2.971E−05 4.499E−04 6.343E−05 −1.129E−05  −1.281E−05 13 1.521E+00−2.949E−02  3.226E−02 −1.597E−02 5.268E−03 −1.002E−03  9.800E−05−2.626E−06 14 −1.006E+01  −2.214E−02  1.842E−02 −1.123E−02 3.650E−03−5.106E−04  2.445E−05  3.469E−07 15 5.888E−01  2.378E−02 −1.322E−02−3.466E−05 4.148E−04 −1.056E−04  3.079E−05 −3.031E−06 16 0.000E+00 1.172E−02 −2.451E−03 −6.775E−04 1.926E−04 −1.343E−05  −4.784E−09  2.064E−08 17 9.633E+00 −7.846E−02  1.807E−02 −2.255E−03 2.127E−04−1.506E−05  6.413E−07 −1.215E−08 18 −4.676E+00  −5.069E−02  1.433E−02−2.879E−03 3.597E−04 −2.626E−05  1.026E−06 −1.657E−08

The values of the respective conditional expressions are as follows:

f123/f=0.909

f3/f2=−1.019

D34/f=0.022

T8/T7=3.019

D89/f=0.092

R9r/f=0.439

f9/f=−0.844

|f4/f|=13.686

TL/f=1.187

TL/Hmax=1.465

f/Dep=2.20

FIG. 23 shows a lateral aberration that corresponds to an image height Hand FIG. 24 shows a spherical aberration (mm), astigmatism (mm), and adistortion (%), respectively.

Numerical Data Example 9

Basic Lens Data

TABLE 17 f = 5.62 mm Fno = 1.9 ω = 38.8° i r d n d ν d [mm] ∞ ∞ L1  1*2.410 0.765 1.5443 55.9 f1 = 5.705    2*(ST) 9.557 0.050 L2  3* 3.8310.240 1.6707 19.2 f2 = −15.996  4* 2.752 0.379 L3  5* 12.093 0.3521.5443 55.9 f3 = 21.585  6* −407.953 0.161 L4  7* −32.648 0.400 1.544355.9 f4 = 20.671  8* −8.404 0.129 L5  9* −7.273 0.298 1.5443 55.9 f5 =−40.506 10* −11.011 0.168 L6 11* −3.433 0.412 1.6707 19.2 f6 = −20.74212* −4.777 0.080 L7 13* −34.551 0.641 1.5443 55.9 f7 = 8.678 14* −4.1830.026 L8 15* 5.706 0.645 1.5443 55.9 f8 = 52.687 16* 6.840 0.610 L9 17*826.452 0.601 1.5443 55.9 f9 = −4.987 18* 2.705 0.250 19  ∞ 0.210 1.516864.2 20  ∞ 0.691 (IM) ∞f123=6.145 mmf789=−56.237 mmf34=10.744 mmf89=−5.891 mmT7=0.641 mmT8=0.645 mmD34=0.161 mmD89=0.610 mmTL=7.037 mmHmax=4.52 mmDep=2.972 mm

TABLE 18 Aspherical surface data i k A4 A6 A8 A10 A12 A14 A16 12.138E−01  2.437E−03 −4.046E−04  1.772E−03 −8.446E−04  2.477E−041.026E−05 −8.781E−06 2 0.000E+00 −2.041E−02  2.862E−02 −1.827E−027.056E−03 −1.221E−03  −9.036E−05   4.995E−05 3 −3.695E+00  −4.437E−02 3.194E−02 −1.688E−02 6.304E−03 −7.906E−04  −2.695E−04   1.157E−04 4−8.276E+00   1.695E−02 −1.258E−02  1.324E−02 −1.010E−02  9.186E−03−5.022E−03   1.338E−03 5 0.000E+00 −1.506E−02 −9.879E−03  5.220E−04−3.606E−03  2.341E−03 1.534E−03 −1.002E−03 6 0.000E+00 −2.466E−02−2.492E−02  1.184E−02 −2.937E−03  1.566E−03 1.699E−03 −9.831E−04 70.000E+00 −2.631E−02 −2.970E−02 −9.661E−05 1.067E−02 1.336E−03−3.554E−03   9.170E−04 8 0.000E+00  8.258E−03 −5.444E−02  4.873E−033.731E−03 2.331E−03 −2.213E−03   5.137E−04 9 0.000E+00  7.014E−03−5.507E−02  8.574E−03 −1.823E−03  1.028E−03 1.813E−03 −6.291E−04 100.000E+00 −2.811E−02 −1.703E−02  1.630E−03 1.654E−03 1.435E−04−7.561E−05  −4.622E−06 11 2.498E+00 −1.107E−02  2.425E−02 −9.932E−034.061E−03 −1.122E−03  1.659E−04 −8.125E−06 12 −5.224E+00  −4.191E−02 3.128E−02 −1.154E−02 3.023E−03 −6.081E−04  1.002E−04 −1.004E−05 130.000E+00 −8.188E−03  1.083E−02 −6.359E−03 1.041E−03 1.043E−04−8.669E−05   1.113E−05 14 0.000E+00  3.091E−02 −3.652E−03  4.085E−04−1.955E−04  9.988E−06 1.876E−06  8.842E−09 15 1.715E+00 −8.358E−03−5.354E−04 −2.437E−03 7.278E−04 −9.710E−05  7.374E−06 −2.555E−07 160.000E+00  1.034E−02 −4.258E−03 −2.632E−04 1.903E−04 −1.909E−05 2.464E−07  2.591E−08 17 0.000E+00 −5.151E−02  1.476E−02 −2.109E−032.187E−04 −1.610E−05  5.152E−07  2.342E−10 18 −5.107E+00  −4.630E−02 1.316E−02 −2.725E−03 3.514E−04 −2.629E−05  1.043E−06 −1.708E−08

The values of the respective conditional expressions are as follows:

f123/f=1.093

f3/f2=−1.349

D34/f=0.029

T8/T7=1.006

D89/f=0.109

R9r/f=0.481

f9/f=−0.887

|f4/f|=3.678

TL/f=1.252

TL/Hmax=1.557

f/Dep=1.89

FIG. 26 shows a lateral aberration that corresponds to an image height Hand FIG. 27 shows a spherical aberration (mm), astigmatism (mm), and adistortion (%), respectively.

Numerical Data Example 10

Basic Lens Data

TABLE 19 f = 6.22 mm Fno = 2.2 ω = 36.8° i r d n d ν d [mm] ∞ ∞ L1   1*(ST) 2.288 0.784 1.5443 55.9 f1 = 4.682  2* 19.734 0.017 L2  3*4.992 0.268 1.6707 19.2 f2 = −13.021  4* 3.108 0.488 L3  5* −574.6690.516 1.5443 55.9 f3 = 40.146  6* −21.058 0.091 L4  7* 40.931 0.3081.5443 55.9 f4 = 59.919  8* −160.079 0.254 L5  9* −28.959 0.777 1.544355.9 f5 = −99.665 10* −62.709 0.252 L6 11* −3.200 0.250 1.6707 19.2 f6 =−100.368 12* −3.466 0.030 L7 13* −9.478 0.318 1.5443 55.9 f7 = 16.38814* −4.650 0.032 L8 15* 19.516 0.350 1.5443 55.9 f8 = −95.037 16* 14.0800.718 L9 17* −326.264 0.766 1.5443 55.9 f9 = −5.589 18* 3.073 0.250 19 ∞ 0.210 1.5168 64.2 20  ∞ 0.509 (IM) ∞f123=5.847 mmf789=−8.686 mmf34=24.068 mmf89=−5.247 mmT7=0.318 mmT8=0.350 mmD34=0.091 mmD89=0.718 mmTL=7.118 mmHmax=4.65 mmDep=2.828 mm

TABLE 20 Aspherical surface data i k A4 A6 A8 A10 A12 A14 A16 17.617E−01 −1.117E−02 −3.100E−03 −3.298E−03 1.153E−03 −7.086E−04 1.133E−04 −2.825E−05  2 0.000E+00 −4.732E−02  4.539E−02 −2.827E−029.365E−03 −1.440E−03 −1.986E−04 8.128E−05 3 −3.214E+00  −3.582E−02 3.254E−02 −7.542E−03 −4.806E−04   1.416E−03 −7.776E−04 1.513E−04 4−3.351E+00   1.851E−02 −2.229E−02  4.911E−02 −4.604E−02   2.921E−02−1.053E−02 1.644E−03 5 0.000E+00 −7.044E−04 −4.908E−03 −2.532E−039.444E−03 −4.396E−03  1.225E−03 −4.012E−05  6 0.000E+00  1.574E−02−6.266E−02  4.182E−03 1.669E−02 −6.175E−03 −6.454E−06 2.911E−04 70.000E+00  2.514E−02 −8.054E−02  6.674E−03 2.243E−03  2.323E−03 1.185E−03 −8.064E−04  8 0.000E+00  2.149E−03 −2.464E−02 −1.504E−026.377E−03  5.560E−03 −3.124E−03 4.913E−04 9 0.000E+00 −1.090E−02−2.732E−02  3.262E−03 3.334E−03 −6.024E−03  3.770E−03 −8.069E−04  100.000E+00  1.357E−02 −1.628E−02  5.691E−03 −2.382E−03   1.288E−03−3.032E−04 2.645E−05 11 −3.141E+00  −1.167E−02  1.282E−02 −1.474E−03−3.892E−04   1.780E−04 −6.133E−05 7.719E−06 12 −7.659E+00  −3.136E−02 2.026E−02 −5.680E−03 1.577E−03 −3.746E−04  3.827E−05 −6.966E−07  130.000E+00  2.264E−03  4.503E−03 −3.788E−03 4.540E−04  1.700E−05 3.824E−06 −9.779E−07  14 0.000E+00  2.490E−02 −7.476E−03  3.145E−041.473E−04 −1.108E−05 −4.413E−07 1.509E−08 15 0.000E+00  2.502E−02−1.237E−02  1.332E−03 3.179E−04 −1.145E−04  1.372E−05 −6.601E−07  160.000E+00  6.130E−03 −2.313E−03 −3.997E−04 1.846E−04 −2.136E−05 6.259E−07 1.702E−08 17 0.000E+00 −5.661E−02  1.374E−02 −1.512E−035.397E−05  4.960E−06 −5.278E−07 1.271E−08 18 −6.607E+00  −3.655E−02 9.603E−03 −1.771E−03 2.129E−04 −1.584E−05  6.542E−07 1.140E−08

The values of the respective conditional expressions are as follows:

f123/f=0.940

f3/f2=−3.083

D34/f=0.015

T8/T7=1.101

D89/f=0.115

R9r/f=0.494

f9/f=−0.899

|f4/f|=9.633

TL/f=1.144

TL/Hmax=1.531

f/Dep=2.20

FIG. 29 shows a lateral aberration that corresponds to an image height Hand FIG. 30 shows a spherical aberration (mm), astigmatism (mm), and adistortion (%), respectively.

Numerical Data Example 11

Basic Lens Data

TABLE 21 f = 6.44 mm Fno = 1.8 ω = 35.0° i r d n d ν d [mm] ∞ ∞ L1   1*(ST) 2.542 0.601 1.5443 55.9 f1 = 7.987  2* 5.610 0.028 L2  3*2.214 0.240 1.6707 19.2 f2 = −9.799  4* 1.584 0.126 L3  5* 2.818 0.7311.5348 55.7 f3 = 6.315  6* 15.471 0.107 L4  7* 80.794 0.312 1.5348 55.7f4 = 91.684  8* −124.559 0.255 L5  9* −16.542 0.255 1.5348 55.7 f5 =104.625 10* −23.612 0.312 L6 11* −4.367 0.332 1.6707 19.2 f6 = −103.40712* −4.802 0.134 L7 13* −6.191 0.540 1.6707 19.2 f7 = −43.774 14* −8.1200.027 L8 15* 4.184 0.492 1.5443 55.9 f8 = 25.814 16* 5.711 0.691 L9 17*3.766 0.564 1.5348 55.7 f9 = −8.932 18* 1.996 0.250 19  ∞ 0.210 1.516864.2 20  ∞ 1.065 (IM) ∞f123=5.716 mmf789=−10.815 mmf34=5.954 mmf89=−16.190 mmT7=0.540 mmT8=0.492 mmD34=0.107 mmD89=0.691 mmTL=7.202 mmHmax=4.50 mmDep=3.480 mm

TABLE 22 Aspherical surface data i k A4 A6 A8 A10 1 −4.495E−01  1.125E−02 −2.451E−03 8.994E−04  7.060E−05 2 0.000E+00  4.381E−02−6.416E−02 9.226E−02 −1.009E−01 3 −9.709E+00   4.679E−02 −7.486E−029.684E−02 −1.052E−01 4 −2.763E+00  −5.585E−02  8.483E−02 −1.099E−01  1.081E−01 5 −5.844E+00  −7.475E−04  6.734E−02 −1.517E−01   2.244E−01 60.000E+00 −2.991E-02  −2.782E−03 5.153E−02 −9.481E−02 7 0.000E+00−4.259E−02  1.002E−02 1.713E−03 −2.821E−03 8 0.000E+00 −2.766E−02−1.154E−03 2.416E−03 −2.340E−03 9 0.000E+00 −5.345E−02 −9.331E−031.094E−02 −7.707E−03 10 0.000E+00 −2.910E−02 −3.649E−03 3.572E−03 2.817E−03 11 0.000E+00  3.287E−02 −5.927E−02 4.556E−02 −1.253E−02 120.000E+00  3.125E−02 −3.307E−02 −1.746E−02   3.314E−02 13 0.000E+00 1.274E−02  1.859E−02 −4.538E−02   2.613E−02 14 0.000E+00 −2.329E−03 3.466E−03 −1.204E−03  −2.950E−04 15 −6.104E−01  −4.147E−03 −3.292E−021.610E−02 −5.041E−03 16 0.000E+00  8.106E−03 −2.148E−02 6.570E−03−9.385E−04 17 −1.953E−01  −1.271E−01  4.032E−02 −8.490E−03   9.571E−0418 −7.322E+00  −5.473E−02  1.448E−02 −2.765E−03   3.306E−04 i A12 A14A16 A18 A20 1 −7.962E−05 1.656E−06  6.815E−06 6.414E−07 −8.765E−07 2 7.450E−02 −3.520E−02   1.018E−02 −1.642E−03   1.129E−04 3  7.839E−02−3.723E−02   1.078E−02 −1.731E−03   1.181E−04 4 −7.482E−02 3.392E−02−9.291E−03 1.373E−03 −8.048E−05 5 −2.011E−01 1.102E−01 −3.618E−026.551E−03 −5.039E−04 6  9.906E−02 −6.245E−02   2.299E−02 −4.510E−03  3.644E−04 7  2.566E−04 3.655E−04 −1.014E−05 −4.271E−05   1.149E−05 8 1.569E−04 1.099E−03  2.520E−05 −4.553E−04   1.339E−04 9  5.104E−03−5.208E−04  −1.516E−03 7.450E−04 −8.816E−05 10 −1.542E−03 −5.433E−04  1.410E−04 1.851E−04 −4.908E−05 11 −1.833E−02 2.224E−02 −1.202E−023.600E−03 −4.788E−04 12 −2.148E−02 4.576E−03  1.700E−03 −9.902E−04  1.299E−04 13 −5.156E−03 −3.024E−03   2.798E−03 −8.723E−04   9.654E−0514  1.644E−04 2.114E−05 −2.002E−05 2.776E−06 −5.947E−08 15  1.182E−03−2.130E−04   1.419E−05 2.444E−06 −3.221E−07 16 −3.725E−06 1.559E−05−8.526E−07 −1.058E−07   9.849E−09 17 −2.546E−05 −2.973E−06  −1.238E−073.810E−08 −1.074E−09 18 −2.301E−05 9.220E−07 −2.442E−08 2.937E−10 9.142E−12

The values of the respective conditional expressions are as follows:

f123/f=0.888

f3/f2=−0.644

D34/f=0.017

T8/T7=0.911

D89/f=0.107

R9r/f=0.310

f9/f=−1.387

|f4/f|=14.237

TL/f=1.118

TL/Hmax=1.600

f/Dep=1.85

f8/f=4.008

FIG. 32 shows a lateral aberration that corresponds to an image height Hand FIG. 33 shows a spherical aberration (mm), astigmatism (mm), and adistortion (%), respectively.

Accordingly, when the imaging lens of the above-described embodiment isapplied in an imaging optical system such as cameras built in mobiledevices (e.g., cellular phones, smartphones, and mobile informationterminals), digital still cameras, security cameras, onboard cameras,and network cameras, it is possible to attain both high performance anddownsizing of the cameras.

The present invention is applicable in an imaging lens that is mountedin a relatively small-sized camera, such as cameras built in mobiledevices, digital still cameras, security cameras, onboard cameras, andnetwork cameras.

The disclosure of Japanese Patent Application No. 2018-248774, filed onDec. 29, 2018, is incorporated in the application by reference.

While the present invention has been explained with reference to thespecific embodiment of the present invention, the explanation isillustrative and the present invention is limited only by the appendedclaims.

What is claimed is:
 1. An imaging lens comprising: a first lens havingpositive refractive power; a second lens having negative refractivepower; a third lens having positive refractive power; a fourth lens; afifth lens; a sixth lens; a seventh lens; an eighth lens; and a ninthlens having negative refractive power, arranged in this order from anobject side to an image plane side, wherein said imaging lens has atotal of nine lenses, and said ninth lens is formed in a shape so that asurface thereof on the image plane side has an aspherical shape havingan inflection point.
 2. The imaging lens according to claim 1, whereinsaid seventh lens has a thickness T7 on an optical axis thereof, andsaid eighth lens has a thickness T8 on an optical axis thereof so thatthe following conditional expression is satisfied:0.5<T8/T7<4.
 3. The imaging lens according to claim 1, wherein saideighth lens is disposed away from the ninth lens by a distance D89 on anoptical axis thereof so that the following conditional expression issatisfied:0.05<D89/f<0.15, where f is a focal length of a whole lens system. 4.The imaging lens according to claim 1, wherein said ninth lens is formedin the shape so that the surface thereof on the image plane side has aparaxial curvature radius R9r so that the following conditionalexpression is satisfied:0.2<R9r/f<0.6, where f is a focal length of a whole lens system.
 5. Theimaging lens according to claim 1, wherein said ninth lens has a focallength f9 so that the following conditional expression is satisfied:−2<f9/f<−0.2, where f is a focal length of a whole lens system.
 6. Theimaging lens according to claim 1, wherein said first lens is arrangedso that a surface thereof on the object side is away from an image planeby a distance TL on an optical axis thereof so that the followingconditional expression is satisfied:1.0<TL/f<1.5, where f is a focal length of a whole lens system.
 7. Theimaging lens according to claim 1, wherein said first lens is arrangedso that a surface thereof on the object side is away from an image planeby a distance TL on an optical axis thereof so that the followingconditional expression is satisfied:1.0<TL/Hmax<1.8, where Hmax is a maximum image height of the imageplane.
 8. An imaging lens comprising: a first lens having positiverefractive power; a second lens having negative refractive power; athird lens having positive refractive power; a fourth lens; a fifthlens; a sixth lens; a seventh lens; an eighth lens; and a ninth lenshaving negative refractive power, arranged in this order from an objectside to an image plane side, wherein said ninth lens is formed in ashape so that a surface thereof on the image plane side has anaspherical shape having an inflection point, and said ninth lens has afocal length f9 so that the following conditional expression issatisfied:−2<f9/f<−0.2, where f is a focal length of a whole lens system.
 9. Theimaging lens according to claim 8, wherein said seventh lens has athickness T7 on an optical axis thereof, and said eighth lens has athickness T8 on an optical axis thereof so that the followingconditional expression is satisfied:0.5<T8/T7<4.
 10. The imaging lens according to claim 8, wherein saideighth lens is disposed away from the ninth lens by a distance D89 on anoptical axis thereof so that the following conditional expression issatisfied:0.05<D89/f<0.15.
 11. The imaging lens according to claim 8, wherein saidninth lens is formed in the shape so that the surface thereof on theimage plane side has a paraxial curvature radius R9r so that thefollowing conditional expression is satisfied:0.2<R9r/f<0.6.
 12. The imaging lens according to claim 8, wherein saidfirst lens is arranged so that a surface thereof on the object side isaway from an image plane by a distance TL on an optical axis thereof sothat the following conditional expression is satisfied:1.0<TL/f<1.5.
 13. The imaging lens according to claim 8, wherein saidfirst lens is arranged so that a surface thereof on the object side isaway from an image plane by a distance TL on an optical axis thereof sothat the following conditional expression is satisfied:1.0<TL/Hmax<1.8, where Hmax is a maximum image height of the imageplane.
 14. An imaging lens comprising: a first lens having positiverefractive power; a second lens having negative refractive power; athird lens having positive refractive power; a fourth lens; a fifthlens; a sixth lens; a seventh lens; an eighth lens; and a ninth lenshaving negative refractive power, arranged in this order from an objectside to an image plane side, wherein said ninth lens is formed in ashape so that a surface thereof on the image plane side has anaspherical shape having an inflection point, and said first lens isarranged so that a surface thereof on the object side is away from animage plane by a distance TL on an optical axis thereof so that thefollowing conditional expression is satisfied:1.0<TL/f<1.5, where f is a focal length of a whole lens system.
 15. Theimaging lens according to claim 14, wherein said seventh lens has athickness T7 on an optical axis thereof, and said eighth lens has athickness T8 on an optical axis thereof so that the followingconditional expression is satisfied:0.5<T8/T7<4.
 16. The imaging lens according to claim 14, wherein saideighth lens is disposed away from the ninth lens by a distance D89 on anoptical axis thereof so that the following conditional expression issatisfied:0.05<D89/f<0.15.
 17. The imaging lens according to claim 14, whereinsaid ninth lens is formed in the shape so that the surface thereof onthe image plane side has a paraxial curvature radius R9r so that thefollowing conditional expression is satisfied:0.2<R9r/f<0.6.
 18. The imaging lens according to claim 14, wherein saidninth lens has a focal length f9 so that the following conditionalexpression is satisfied:−2<f9/f<−0.2.
 19. The imaging lens according to claim 14, wherein saidfirst lens is arranged so that a surface thereof on the object side isaway from an image plane by a distance TL on an optical axis thereof sothat the following conditional expression is satisfied:1.0<TL/Hmax<1.8, where Hmax is a maximum image height of the imageplane.